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Finding the Fourth Proportional to 2,569.90, 3,852.54 and 926.06

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Solution

The fourth proportional to 2,569.90, 3,852.54 and 926.06 is: 1,388.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569.90 : 3,852.54 = 926.06 : x
  2. Step 2: Convert to fraction form
    2,569.90/3,852.54 = 926.06/x
  3. Step 3: Cross multiply
    2,569.90x = 3,852.54 × 926.06
  4. Step 4: Simplify right side
    2,569.90x = 3,567,683.19
  5. Step 5: Solve for x
    x = 3,567,683.19/2,569.90
  6. Step 6: Final answer
    x = 1,388.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.